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Finding the Fourth Proportional to 509,263.49, 702,472.20 and 302,391.65

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Solution

The fourth proportional to 509,263.49, 702,472.20 and 302,391.65 is: 417,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,263.49 : 702,472.20 = 302,391.65 : x
  2. Step 2: Convert to fraction form
    509,263.49/702,472.20 = 302,391.65/x
  3. Step 3: Cross multiply
    509,263.49x = 702,472.20 × 302,391.65
  4. Step 4: Simplify right side
    509,263.49x = 212,421,724,124.77
  5. Step 5: Solve for x
    x = 212,421,724,124.77/509,263.49
  6. Step 6: Final answer
    x = 417,115.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.